242405040 has 320 divisors, whose sum is σ = 867801600. Its totient is φ = 55590912.

The previous prime is 242405011. The next prime is 242405071. The reversal of 242405040 is 40504242.

It is a junction number, because it is equal to n+sod(n) for n = 242404998 and 242405016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4108531 + ... + 4108589.

It is an arithmetic number, because the mean of its divisors is an integer number (2711880).

Almost surely, 2^242405040 is an apocalyptic number.

242405040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433900800).

242405040 is an abundant number, since it is smaller than the sum of its proper divisors (625396560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242405040 is a wasteful number, since it uses less digits than its factorization.

242405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 242405040 is about 15569.3622220051. The cubic root of 242405040 is about 623.5154440082.

Adding to 242405040 its reverse (40504242), we get a palindrome (282909282).

The spelling of 242405040 in words is "two hundred forty-two million, four hundred five thousand, forty".